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Simplifying -7(n + 2) + 16 = -3n + -10 Reorder the terms: -7(2 + n) + 16 = -3n + -10 (2 * -7 + n * -7) + 16 = -3n + -10 (-14 + -7n) + 16 = -3n + -10 Reorder the terms: -14 + 16 + -7n = -3n + -10 Combine like terms: -14 + 16 = 2 2 + -7n = -3n + -10 Reorder the terms: 2 + -7n = -10 + -3n Solving 2 + -7n = -10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 2 + -7n + 3n = -10 + -3n + 3n Combine like terms: -7n + 3n = -4n 2 + -4n = -10 + -3n + 3n Combine like terms: -3n + 3n = 0 2 + -4n = -10 + 0 2 + -4n = -10 Add '-2' to each side of the equation. 2 + -2 + -4n = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = -10 + -2 -4n = -10 + -2 Combine like terms: -10 + -2 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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